117 research outputs found
Free product actions and their applications
A review of our recent works on free product actions, partly in
collaborations with Dimitri Shlyakhtenko and with Fumio Hiai, is given. We also
work out type III theoretic subfactor analysis on the subfactors constructed in
our previous works. This part can be read as supplementary appendix to the
works.Comment: To appear in "Non-Commutativity, Infinite-Dimensionality and
Probability at the Crossroads," World Scientifi
Discrete cores of type III free product factors
We give a general description of the discrete decompositions of type III
factors arising as central summands of free product von Neumann algebras based
on our previous works. This enables us to give several precise structural
results on type III free product factors.Comment: Expanded versio
On type III_1 factors arising as free products
Type III_1 factors arising as (direct summands of) von Neumann algebraic free
products are investigated. In particular we compute Connes' Sd- and tau-
invariants for those type III_1 factors without any extra assumption.Comment: 10 pages, "almost" final version; to appear in Math. Res. Let
On the predual of non-commutative
The unique predual of a non-commutative -algebra
is investigated. In particular, we will prove the
liftability property of weakly relatively compact subsets in
to .Comment: 10 pages, Final version, to appear in BLM
Some analysis on amalgamated free products of von Neumann algebras in non-tracial setting
Several techniques together with some partial answers are given to the
questions of factoriality, type classification and fullness for amalgamated
free product von Neumann algebras.Comment: 3rd version; no essential change; typos correcte
Factoriality, type classification and fullness for free product von Neumann algebras
We give a complete answer to the questions of factoriality, type
classification and fullness for arbitrary free product von Neumann algebras.Comment: 20 pages; to appear in Adv. Mat
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